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6
Examples using Frobenius series on first order ode
6.1
Example 1.
\(xy^{\prime }+y=0\)
6.2
Example 2.
\(xy^{\prime }+y=x\)
6.3
Example 3.
\(xy^{\prime }+y=1\)
6.4
Example 4.
\(xy^{\prime }+y=k\)
6.5
Example 5.
\(xy^{\prime }+y=\sin x\)
6.6
Example 6.
\(xy^{\prime }+y=x+x^{3}+2x^{4}\)
6.7
Example 7.
\(xy^{\prime }+y=\frac {1}{x}\)
6.8
Example 9.
\(xy^{\prime }+y=\frac {1}{x^{2}}\)
6.9
Example 10.
\(xy^{\prime }+y=3+x\)
6.10
Example 11.
\(xy^{\prime }+y=\frac {1}{x^{3}}\)
6.11
Example 11.
\(y^{\prime }+xy=x^{2}\)
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